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Instabilities of certain empty Robertson-Walker space-times

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Abstract

Results are established concerning perturbations of each empty Robertson-Walker space-time (M, g) with a nonvanishing cosmological constant. The perturbed space-times have the general form (\(\mathop {M,}\limits^ \sim \mathop g\limits^ \sim \)) with\(M\) an extension ofM, and\(g\) lying in an open neighborhood of g in a type ofW m topology. These results indicate that large classes of such perturbations give rise to space-times which suffer from one of two types of incompleteness.

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  1. Department of Applied Mathematics, Queen Mary College, Mile End Road, E1 4NS, London

    R. P. A. C. Newman

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  1. R. P. A. C. Newman
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Newman, R.P.A.C. Instabilities of certain empty Robertson-Walker space-times. Gen Relat Gravit 13, 257–282 (1981). https://doi.org/10.1007/BF00758552

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